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A freight train leaves the station 1 hour before a passenger train. The two trains are traveling in the same direction on parallel tracks. If the rate of the passenger train is 5mph faster than the freight train, how fast is each train traveling if the passenger train passes the freight train in 12 hours?
Speed of freight train = ? mph.
Passenger train = ? mph. (type an integer or a decimal)
It takes Joan 2 times longer than Jane to file the reports. Together, they can file the reports in 12 minutes. How long would it take each woman to file the reports by herself?
It takes Jane ? minutes to do it alone.
It takes Joan ? minutes to do it alone.
Solve the equation exactly:
3x2 - 7x - 5 = 0
x = ?
(Simplify your answers. Type exact answers, using radicals if needed)
There are two lines through the point (2,-3) that are tangent to y=x²+x. Find the x-coordinates of the points where these lines touch the parabola.
To eliminate the remaining six regions by logical analysis would be rather a pain. Using the picture of R = R1, or using the inequalities defining R1, find the volume of R, and find z.
If you are 22 years old, deposit $7,825 each year into a traditional IRA for 48 years at 11% interest compounded annually, and retire at age 70, how much money will be in the account upon retirement?
you are an electrical engineer designing a new integrated circuit involving potentially millions of components. how
Write this as an augmented matrix, call it T . (b) Solve the linear system from part (a) in terms of the free variable f4 . (c) If the traffic is regulated on CD so that f4 = 10, what will the average flows on the other streets be? (d) What is the..
An army cadet is involved in a compass exercise. He leaves point O and walks 50m due west to point A. He then walks 80m due north to point B and finally 60m on a bearing of 320 deg to point C.
If you can verify that sin (x) 1 + cos (x) is in fact his cover up identity, then you will have finally caught the infamous con artist.
Problem 1: Consider the following linear programming problem:
A table classifying sample of 143 patrons of a restaurant according to type of meal and their rating of the service is shown below. Suppose we select, at random, one of the 143 patrons. Give that the meal was lunch, what is the probability that th..
Anna saved $10,780, which was 70% of the amount she needed for a used car. What was the total amount she needed for the car? What was the total amount she needed for the car?
Design a mathematical model for solving this problem and use any gradient method to ?nd an approximation to the solution of the system (either perform 3 iterations manually or use a Matlab/Mathematica program). Hint: minimise the distance between ..
St. John's hospital is a small hospital in Lakeview, FL. St. John's began a new process to make sure patients receive the hottest meals possible. St. John's food service manager plans to deliver meals in bulk to three recently installed serving stati..
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